Question 4 Find the exact sum of the following series Ec(-1)* cy2k / (2k+11) k=0 (Note:...
1 points Save An Find the exact sum of the following series ((-1)* (24/(2k!)) k=0 (Note: Write your answers as decimal numbers rounded to five decimal places, and make sure your calculator is in radian mode)
Use Taylor series (use only the first three terms) to approximate the value of the integral So sin(x3)dx for a = 2.3 (Note: Write your answers as decimal numbers rounded mode). three decimal places and make sure your calculator is in radian
5 4 If tan = and coto= find the exact value of sin(0-0). 9 Note: Be sure to enter EXACT values 1 You do not need to simplify any radicals. sin(0-0)- 2 If cosa = 0.369 and cos B 0.195 with both angles' terminal rays in Quadrant-l, find the values of (a) sin(a +B) = (b) sin(B-a) = Your answers should be accurate to 4 decimal places. Give exact answers 2 sin(a) = and cos(B) 4 5 Both angles terminate...
1 1. Find the exact sum of the following infinite series as indicated below: -1 1 1 1 1 + n(-4) 2(16) 3(64) 4(256) a. Let f(x) = 2n=1 (-1) x". I n a b. Find the power series for the derivative f'(x), and observe that it is a geometric series. Find its first term and common ratio. c. Use the formula 1-r to find an algebraic expression for f'(x). d. Integrate to find an algebraic expression for f(x). Make...
Write out the sum. n-1 (2k + 7) k=0 OA. 7+9+ 11 + ... + (2n + 5) OB. 7+9+11+ ... + (2n + 7) OC. 9+ 11 +13 + ... + (2n + 7) D. 9+ 11 +13 + ... + (2n +5)
Question 11 0/5 points n+1 satisfies all requirements of the Alternating Series Test. (You don't It 2n=1 have to check that - trust me on this one.) (2n+1) (a) Use a calculator to evaluate the partial sum S3 of this series. Give the answer rounded to four decimal places. (b) Estimate the error of using S3 as an approximation to the sum of the series, i.e. estimate the remainder R3. Recall that the remainder estimate of the Alternating Series Test...
Show all of your work and leave your answers in exact form. For exercises 1 and 2, calculate the first five terms of the sequence of partial sums correct to four decimal places. Does it appear that the series is convergent? (Just make a guess, not proof is necessary. Exercise 1: p. 755,5. Σ Exercise Σοοί(-1)"-1 2. For exercises 3 and 4, determine whether the series is convergent or divergent (make sure to state any theorems that you use). If...
1 2 NAME Q1. (30pts) Solve the quadratic equation z2-(3+3i)z +6+2i = 0 by realizing the following plan: (i) find the discriminant A of the equation; (ii) write a program for a scientific calculator to obtain the polar form r(cos 0 + i sin 0) of A and the 'first' root + isin COS 2 of degree two of A; (iii) execute the program, fix the results, find another root A2 of A of degree two (before executing the program,...
Find all exact solutions on (0, 22). (Enter your answers as a comma-separated list.) tan(x) = tan(x) Additional Materials 27. -12 points OSPreCalc 1 7.5.300. Use a calculator to find all solutions to four decimal places. (Let k represent an arbitrary integer. Round your answers to four decin cos(x) = 0.53 2k (solution with the terminal side of x in the first quadrant) + 20k (solution with the terminal side of x in the fourth quadrant) Additional Materials eBook Solving...
NAME: Q1. (30pts) Solve the quadratic equation 22-(1-4i)2-9+3i 0 by realizing the following plan: (i) find the discriminant A of the equation: (i) write a program for a scientific calculator to obtain the polar form r(cos 0 + isin @i of A and the 'first root + isin- cos 2 of degree two of A; (ii) execute the program, fix the results, find another root A of A of degree two (before executing the program, make sure that your caleulator...